High-Order Numerical Schemes

Publications

(1) Chu, P.C., and C.W. Fan, 1997: Sixth-order difference scheme for sigma coordinate ocean models. Journal of Physical Oceanography, 27, 2064-2071 (paper download).

(2) Chu, P.C., and C.W. Fan, 1998: A three-point combined compact difference scheme, Journal of Computational Physics, 140, 370-399 (paper download).

(3) Chu, P.C., and C.W. Fan, 1999: A three-point non-uniform combined compact difference scheme," Journal of Computational Physics, 148, 663-674 (paper download).

(4) Chu, P.C., and C.W. Fan, 2000: A staggered three-point combined compact difference scheme. Mathematical and Computer Modeling, 32, 323-340 (paper download).

(5) Chu, P.C., X.-S. Chen, and C.W. Fan, 2001: Comparison between wavenumber truncation and horizontal diffusion methods in spectral models. Monthly Weather Review, 129, 152-158, (paper download).

(6) Chu, P.C., and C.W. Fan, 2001: An accuracy progressive sixth-order finite difference scheme. Journal of Atmospheric and Oceanic Technology, 18, 1245-1257 (paper download).

(7) Chu, P.C., and C.W. Fan, 2003: Hydrostatic correction for reducing horizontal pressure gradient errors in sigma coordinate models. Journal of Geophysical Research, 108, C6, 3206, doi: 10.1029/2002JC001668, 2003 (paper download).

(8) Chu, P.C., and C.W. Fan, 2004: A terrain following crystal grid finite volume ocean circulation model. Journal of Oceanography, 60, 945-952 (paper download).

(9) Chu, P.C., and C.W. Fan, 2010: Transformed flux-form semi-Lagrangian scheme. Terrestrial, Atmospheric, and Oceanic Sciences, 21, 17-26 (paper download).

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